Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.4 Solving Quadratic Equations by the Square Root Property and Completing the Square - 4.4 Exercises: 14

Answer

$x=1.5,11.5$

Work Step by Step

When taking the square root of a number, you get a positive and a negative answer. $2.5(x-6.5)^2-20=42.5$ $2.5(x-6.5)^2=62.5$ $(x-6.5)^2=25$ $x-6.5=5$ $x=11.5$ or $x-6.5=-5$ $x=1.5$. So $x=1.5,11.5$.
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